Abstract
We apply lemmas of Mues and Steinmetz from [4] to non-linear homogeneous differential polynomials in the meromorphic function f and f (k) with coefficients which are O(log r) + O(T(r, f)) in order to find sufficient conditions for f to be of the form Re P where R is a rational function and P is a polynomial.
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Buck, M. Non-Linear Homogeneous Differential Polynomials. Comput. Methods Funct. Theory 12, 145–150 (2012). https://doi.org/10.1007/BF03321818
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DOI: https://doi.org/10.1007/BF03321818